length n = 37
dimension k = 5
alphabet length q = 7

minimum distance d = 26

generator matrix:
0000000111111000111111111111111111111
0111111000000111000111222333444555666
0000000123456124000356356124356124124
0123456000000000356421214241142412124
1145236142241000000241241142241142142

projective group of automorphisms generated by:
00010
00100
01000
10000
00001

10000
03000
00500
00040
00004